A particle is projected from a point O with a velocity u in a direction making an angle α α upward with the horizontal. After some time at point P it is moving at right angle with its initial direction of projection. The time of flight from O to P is
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When body projected with initial velocity
by making angle
with the horizontal. Then after time t, (at
point P ) it’s direction is perpendicular to
. Magnitude of velocity at point P is given by
(from sample problem no. 9)

For vertical motion : Initial
velocity (at point O ) 
Final velocity (at point P )

Time of flight (from point O to P ) = t
Applying first equation of motion 

∴ ∴


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